6th Grade Order of Operations Worksheets - Free Printable

The image you've uploaded is a completed Order of Operations worksheet (labeled "6.1 Answers") from Math-Salamanders.com, which includes 20 math problems involving the correct application of the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Each problem has three possible answers (A, B, or C), and the correct answer is circled in red.

Let me go through the solution process for each problem to explain how the correct answer was determined using the order of operations:

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🔢 Problem-by-Problem Breakdown

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#### 1) 14 – 2 × 5
- Step: Multiply first → 2 × 5 = 10
- Then subtract: 14 – 10 = 4
- ✔ Correct answer: A (4)

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#### 2) 3 × 4 – 2 × 5
- Step: Do both multiplications:
3 × 4 = 12, 2 × 5 = 10
Then subtract: 12 – 10 = 2
- ✔ Correct answer: B (2)

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#### 3) 2 + 3 × 4 + 5
- Step: Multiply first: 3 × 4 = 12
Then add: 2 + 12 + 5 = 19
- ✔ Correct answer: B (19)

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#### 4) 24 – 7 × 3 + 1
- Step: Multiply first: 7 × 3 = 21
Then: 24 – 21 = 3, then 3 + 1 = 4
- ✔ Correct answer: A (4)

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#### 5) 20 ÷ 2 + 3
- Step: Divide first: 20 ÷ 2 = 10
Then add: 10 + 3 = 13
- ✔ Correct answer: C (13)

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#### 6) 15 + 4 × 10 – 5
- Step: Multiply first: 4 × 10 = 40
Then: 15 + 40 = 55, then 55 – 5 = 50
- ✔ Correct answer: B (50)

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#### 7) 10 – 7 + 3 × 2
- Step: Multiply first: 3 × 2 = 6
Then: 10 – 7 = 3, then 3 + 6 = 9
- ✔ Correct answer: A (9)

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#### 8) 2 + 9 ÷ 3 + 6
- Step: Divide first: 9 ÷ 3 = 3
Then: 2 + 3 = 5, then 5 + 6 = 11
- ✔ Correct answer: C (11)

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#### 9) 20 – 3 × 4 ÷ 2
- Step: Multiplication and division from left to right:
- 3 × 4 = 12
- 12 ÷ 2 = 6
- Then: 20 – 6 = 14
- ✔ Correct answer: A (14)

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#### 10) 30 ÷ 5 × 3 + 6
- Step: Division and multiplication left to right:
- 30 ÷ 5 = 6
- 6 × 3 = 18
- 18 + 6 = 24
- ✔ Correct answer: C (24)

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#### 11) 3 × (9 – 5) + 6
- Step: Parentheses first: 9 – 5 = 4
Then: 3 × 4 = 12
Then: 12 + 6 = 18
- ✔ Correct answer: B (18)

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#### 12) 4 × (6 – 3) × 5
- Step: Parentheses: 6 – 3 = 3
Then: 4 × 3 = 12
Then: 12 × 5 = 60
- ✔ Correct answer: C (60)

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#### 13) 12 – (3 + 4 × 2)
- Step: Inside parentheses:
- 4 × 2 = 8 (multiplication before addition)
- 3 + 8 = 11
- Then: 12 – 11 = 1
- ✔ Correct answer: A (1)

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#### 14) (7 + 3) × (12 – 5)
- Step: Parentheses:
- 7 + 3 = 10
- 12 – 5 = 7
- Then: 10 × 7 = 70
- ✔ Correct answer: B (70)

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#### 15) 18 + 12 ÷ (15 – 11)
- Step: Parentheses: 15 – 11 = 4
Then: 12 ÷ 4 = 3
Then: 18 + 3 = 21
- ✔ Correct answer: A (21)

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#### 16) ½ × (4 + 5 – 3)
- Step: Parentheses: 4 + 5 = 9, 9 – 3 = 6
Then: ½ × 6 = 3
- ✔ Correct answer: B (3)

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#### 17) 4 × 5 – 12 ÷ 2
- Step: Multiply and divide left to right:
- 4 × 5 = 20
- 12 ÷ 2 = 6
- Then: 20 – 6 = 14
- ✔ Correct answer: C (14)

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#### 18) 8 + 20 ÷ 4 + 6
- Step: Division first: 20 ÷ 4 = 5
Then: 8 + 5 = 13, then 13 + 6 = 19
- ✔ Correct answer: C (19)

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#### 19) 3 × (12 – 5 × 2)
- Step: Inside parentheses:
- 5 × 2 = 10
- 12 – 10 = 2
- Then: 3 × 2 = 6
- ✔ Correct answer: A (6)

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#### 20) (30 – 12) ÷ (9 – 3)
- Step: Parentheses:
- 30 – 12 = 18
- 9 – 3 = 6
- Then: 18 ÷ 6 = 3
- ✔ Correct answer: B (3)

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✔ Summary:

All answers are correctly solved by applying PEMDAS (Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right). The red circles match the correct choices based on this rule.

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📌 Key Takeaways:

- Always follow PEMDAS.
- Multiplication and division have equal priority — do them left to right.
- Addition and subtraction also have equal priority — do them left to right.
- Parentheses must be evaluated first.

This worksheet is excellent practice for mastering order of operations!

Let me know if you'd like a printable version or explanation with visual steps!